1445264640 has 576 divisors, whose sum is σ = 5651251200. Its totient is φ = 348364800.

The previous prime is 1445264629. The next prime is 1445264683. The reversal of 1445264640 is 464625441.

1445264640 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 2 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1445264595 and 1445264604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20355805 + ... + 20355875.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2^1445264640 is an apocalyptic number.

1445264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825625600).

1445264640 is an abundant number, since it is smaller than the sum of its proper divisors (4205986560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1445264640 is a wasteful number, since it uses less digits than its factorization.

1445264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1445264640 is about 38016.6363583103. The cubic root of 1445264640 is about 1130.6177320501.

It can be divided in two parts, 1445 and 264640, that added together give a triangular number (266085 = T₇₂₉).

The spelling of 1445264640 in words is "one billion, four hundred forty-five million, two hundred sixty-four thousand, six hundred forty".